In this paper, we establish first order gradient estimates for positive global solutions of the heat equation under closed Finsler-Ricci flow with weighted Ricci curvature RicN bounded below, where N∈ (n,∞). As an application, we derive the corresponding Harnack inequality. Our results are the generalizations and the supplements of the previous known related results.
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Cheng, X., & Wu, P. (2022). Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow. Journal of Finsler Geometry and its Applications, 3(1), 1-15. doi: 10.22098/jfga.2022.10956.1067
MLA
Xinyue Cheng; Pengsheng Wu. "Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow", Journal of Finsler Geometry and its Applications, 3, 1, 2022, 1-15. doi: 10.22098/jfga.2022.10956.1067
HARVARD
Cheng, X., Wu, P. (2022). 'Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow', Journal of Finsler Geometry and its Applications, 3(1), pp. 1-15. doi: 10.22098/jfga.2022.10956.1067
VANCOUVER
Cheng, X., Wu, P. Gradient estimates for positive global solutions of heat equation under closed Finsler-Ricci flow. Journal of Finsler Geometry and its Applications, 2022; 3(1): 1-15. doi: 10.22098/jfga.2022.10956.1067
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